What is the Least Common Multiple of 48875 and 48892?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 48875 and 48892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48875 and 48892, than apply into the LCM equation.

GCF(48875,48892) = 17
LCM(48875,48892) = ( 48875 × 48892) / 17
LCM(48875,48892) = 2389596500 / 17
LCM(48875,48892) = 140564500

Least Common Multiple (LCM) of 48875 and 48892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48875 and 48892. First we will calculate the prime factors of 48875 and 48892.

Prime Factorization of 48875

Prime Factorization of 48892

Now multiplying the highest exponent prime factors to calculate the LCM of 48875 and 48892.

LCM(48875,48892) = 5³ × 17¹ × 23¹ × 2² × 719¹
LCM(48875,48892) = 140564500